(12y+2)(y-5)=

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Solution for (12y+2)(y-5)= equation: 


Simplifying
(12y + 2)(y + -5) = 0

Reorder the terms:
(2 + 12y)(y + -5) = 0

Reorder the terms:
(2 + 12y)(-5 + y) = 0

Multiply (2 + 12y) * (-5 + y)
(2(-5 + y) + 12y * (-5 + y)) = 0
((-5 * 2 + y * 2) + 12y * (-5 + y)) = 0
((-10 + 2y) + 12y * (-5 + y)) = 0
(-10 + 2y + (-5 * 12y + y * 12y)) = 0
(-10 + 2y + (-60y + 12y2)) = 0

Combine like terms: 2y + -60y = -58y
(-10 + -58y + 12y2) = 0

Solving
-10 + -58y + 12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + -29y + 6y2) = 0

Factor a trinomial.
2((-1 + -6y)(5 + -1y)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -6y)' equal to zero and attempt to solve:

Simplifying
-1 + -6y = 0

Solving
-1 + -6y = 0

Move all terms containing y to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -6y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6y = 0 + 1
-6y = 0 + 1

Combine like terms: 0 + 1 = 1
-6y = 1

Divide each side by '-6'.
y = -0.1666666667

Simplifying
y = -0.1666666667

Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {-0.1666666667, 5}

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